Answer:
y=-3/2x+7.5
Step-by-step explanation:
You need to find the slope by subtracting second point,(7,-3), from the first point, (5,0), you get the slope of -3/2.
you need to put it on a graph with that slope, place the original two points and you move the slope up the y-axis 7.5, making the y-intercept (7.5,0)
Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.
Explanation:
It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .
The distance formula for two points is given below,
Slope formula,
Slope of DE,
Slope of EF,
Slope of FG,
Slope of DG,
The slope of opposite sides are equal, it means the opposite sides are parallel.
All four sides do not have the same length. It means it is not a rhombus.
From the figure it is noticed that the opposite sides are parallel.
Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.
Answer:
Step-by-step explanation:
The difference quotient and simplification will be = [4 -h-2x]
The given equation is as follows: f(x)= 4x - x²
For finding the quotient and further simplification we must follow the following steps:
[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h
<h3>What is simplification of algebraic operations?</h3>
Getting the functions in their lowest terms is known as simplification.
Brackets will get open and solved further;
[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h
[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h
Finally dividing the whole equation with h;
= [4 - h - 2x]
Learn more about algebraic operations,
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# SPJ1
Answer:
Yes it is a proportional relationship
Step-by-step explanation:
That is because 20 and 10 are your original and 40 and 20 and 60 and 30 match with it.
